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Finding the Fourth Proportional to 765.64, 1,147.12 and 491.08

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Solution

The fourth proportional to 765.64, 1,147.12 and 491.08 is: 735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.64 : 1,147.12 = 491.08 : x
  2. Step 2: Convert to fraction form
    765.64/1,147.12 = 491.08/x
  3. Step 3: Cross multiply
    765.64x = 1,147.12 × 491.08
  4. Step 4: Simplify right side
    765.64x = 563,327.69
  5. Step 5: Solve for x
    x = 563,327.69/765.64
  6. Step 6: Final answer
    x = 735.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.